Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

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Contents of Volume 81, Number 278
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Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations
Liuqiang Zhong, Long Chen, Shi Shu, Gabriel Wittum and Jinchao Xu;
Math. Comp. 81 (2012), 623-642
DOI: https://doi.org/10.1090/S0025-5718-2011-02544-5
Published electronically: December 13, 2011
Hodge decomposition for divergence-free vector fields and two-dimensional Maxwell’s equations
S. C. Brenner, J. Cui, Z. Nan and L.-Y. Sung;
Math. Comp. 81 (2012), 643-659
DOI: https://doi.org/10.1090/S0025-5718-2011-02540-8
Published electronically: August 30, 2011
Galerkin and streamline diffusion finite element methods on a Shishkin mesh for a convection-diffusion problem with corner singularities
Sebastian Franz, R. Bruce Kellogg and Martin Stynes;
Math. Comp. 81 (2012), 661-685
DOI: https://doi.org/10.1090/S0025-5718-2011-02526-3
Published electronically: July 20, 2011
Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales
Assyr Abdulle;
Math. Comp. 81 (2012), 687-713
DOI: https://doi.org/10.1090/S0025-5718-2011-02527-5
Published electronically: July 26, 2011
Error self-canceling of a difference scheme maintaining two conservation laws for linear advection equation
Cui Yanfen and Mao De-kang;
Math. Comp. 81 (2012), 715-741
DOI: https://doi.org/10.1090/S0025-5718-2011-02523-8
Published electronically: July 26, 2011
Best approximation property in the $W^1_{\infty }$ norm for finite element methods on graded meshes
A. Demlow, D. Leykekhman, A. H. Schatz and L. B. Wahlbin;
Math. Comp. 81 (2012), 743-764
DOI: https://doi.org/10.1090/S0025-5718-2011-02546-9
Published electronically: September 29, 2011
Optimal convergence estimates for the trace of the polynomial $L^2$-projection operator on a simplex
Alexey Chernov;
Math. Comp. 81 (2012), 765-787
DOI: https://doi.org/10.1090/S0025-5718-2011-02513-5
Published electronically: June 7, 2011
Adaptive multiresolution analysis based on anisotropic triangulations
Albert Cohen, Nira Dyn, Frédéric Hecht and Jean-Marie Mirebeau;
Math. Comp. 81 (2012), 789-810
DOI: https://doi.org/10.1090/S0025-5718-2011-02495-6
Published electronically: September 28, 2011
Greedy bisection generates optimally adapted triangulations
Jean-Marie Mirebeau and Albert Cohen;
Math. Comp. 81 (2012), 811-837
DOI: https://doi.org/10.1090/S0025-5718-2011-02459-2
Published electronically: September 28, 2011
The generalized polarization tensors for resolved imaging Part II: Shape and electromagnetic parameters reconstruction of an electromagnetic inclusion from multistatic measurements
Habib Ammari, Hyeonbae Kang, Eunjoo Kim and June-Yub Lee;
Math. Comp. 81 (2012), 839-860
DOI: https://doi.org/10.1090/S0025-5718-2011-02534-2
Published electronically: September 20, 2011
On the convergence rates of Legendre approximation
Haiyong Wang and Shuhuang Xiang;
Math. Comp. 81 (2012), 861-877
DOI: https://doi.org/10.1090/S0025-5718-2011-02549-4
Published electronically: October 18, 2011
Design of rational rotation–minimizing rigid body motions by Hermite interpolation
Rida T. Farouki, Carlotta Giannelli, Carla Manni and Alessandra Sestini;
Math. Comp. 81 (2012), 879-903
DOI: https://doi.org/10.1090/S0025-5718-2011-02519-6
Published electronically: July 8, 2011
Matricial filters and crystallographic composite dilation wavelets
Jeffrey D. Blanchard and Ilya A. Krishtal;
Math. Comp. 81 (2012), 905-922
DOI: https://doi.org/10.1090/S0025-5718-2011-02518-4
Published electronically: July 12, 2011
Tractability index of hybrid equations for circuit simulation
Satoru Iwata, Mizuyo Takamatsu and Caren Tischendorf;
Math. Comp. 81 (2012), 923-939
DOI: https://doi.org/10.1090/S0025-5718-2011-02558-5
Published electronically: November 8, 2011
Ergodic scales in fractal measures
Palle E. T. Jorgensen;
Math. Comp. 81 (2012), 941-955
DOI: https://doi.org/10.1090/S0025-5718-2011-02517-2
Published electronically: July 7, 2011
Series expansions of symmetric elliptic integrals
Toshio Fukushima;
Math. Comp. 81 (2012), 957-990
DOI: https://doi.org/10.1090/S0025-5718-2011-02531-7
Published electronically: August 15, 2011
Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem
Iván Area, Dimitar K. Dimitrov, Eduardo Godoy and Fernando R. Rafaeli;
Math. Comp. 81 (2012), 991-1004
DOI: https://doi.org/10.1090/S0025-5718-2011-02553-6
Published electronically: November 14, 2011
The generating function for the Dirichlet series $L_m(s)$
William Y. C. Chen, Neil J. Y. Fan and Jeffrey Y. T. Jia;
Math. Comp. 81 (2012), 1005-1023
DOI: https://doi.org/10.1090/S0025-5718-2011-02520-2
Published electronically: July 26, 2011
Explicit upper bounds for the remainder term in the divisor problem
D. Berkane, O. Bordellès and O. Ramaré;
Math. Comp. 81 (2012), 1025-1051
DOI: https://doi.org/10.1090/S0025-5718-2011-02535-4
Published electronically: August 25, 2011
An improved upper bound for the argument of the Riemann zeta-function on the critical line
Timothy Trudgian;
Math. Comp. 81 (2012), 1053-1061
DOI: https://doi.org/10.1090/S0025-5718-2011-02537-8
Published electronically: August 25, 2011
On classifying Minkowskian sublattices
Wolfgang Keller, Jacques Martinet and Achill Schürmann; with an Appendix by Mathieu Dutour Sikirić
Math. Comp. 81 (2012), 1063-1092
DOI: https://doi.org/10.1090/S0025-5718-2011-02528-7
Published electronically: September 12, 2011
On the number of isogeny classes of pairing-friendly elliptic curves and statistics of MNT curves
Jorge Jiménez Urroz, Florian Luca and Igor E. Shparlinski;
Math. Comp. 81 (2012), 1093-1110
DOI: https://doi.org/10.1090/S0025-5718-2011-02543-3
Published electronically: September 29, 2011
The maximal rank of elliptic Delsarte surfaces
Bas Heijne;
Math. Comp. 81 (2012), 1111-1130
DOI: https://doi.org/10.1090/S0025-5718-2011-02529-9
Published electronically: August 4, 2011
Constructing elliptic curves over finite fields with prescribed torsion
Andrew V. Sutherland;
Math. Comp. 81 (2012), 1131-1147
DOI: https://doi.org/10.1090/S0025-5718-2011-02538-X
Published electronically: August 4, 2011
Explicit computations on the desingularized Kummer surface
V. G. Lopez Neumann and Constantin Manoil;
Math. Comp. 81 (2012), 1149-1161
DOI: https://doi.org/10.1090/S0025-5718-2011-02547-0
Published electronically: September 30, 2011
Efficient computation of Castelnuovo-Mumford regularity
Amir Hashemi;
Math. Comp. 81 (2012), 1163-1177
DOI: https://doi.org/10.1090/S0025-5718-2011-02515-9
Published electronically: July 21, 2011
On the computation of local components of a newform
David Loeffler and Jared Weinstein;
Math. Comp. 81 (2012), 1179-1200
DOI: https://doi.org/10.1090/S0025-5718-2011-02530-5
Published electronically: September 20, 2011
Modular polynomials via isogeny volcanoes
Reinier Bröker, Kristin Lauter and Andrew V. Sutherland;
Math. Comp. 81 (2012), 1201-1231
DOI: https://doi.org/10.1090/S0025-5718-2011-02508-1
Published electronically: July 14, 2011
Deterministic methods to find primes
Terence Tao, Ernest Croot III and Harald Helfgott;
Math. Comp. 81 (2012), 1233-1246
DOI: https://doi.org/10.1090/S0025-5718-2011-02542-1
Published electronically: August 23, 2011